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3 years ago

1. 2(3x – 4) + 10 = 5(x + 4) somebody please help me for 10 points ?

Mathematics

1 answer:

love history [14]3 years ago

6 0

Answer:

Step-by-step explanation:

Isolate x on one side of the equation.

DISTRIBUTIVE PROPERTY:

A(B+C)=AB+AC

A(B-C)=AB-AC

2(3x – 4) + 10 = 5(x + 4)

2(3x-4)+10 (First, expand by using distributive property.)

2*3x=6x

2*4=8

6x-8

6x-8+10

-8+10 (Add and subtract.)

-8+10=2

6x+2

5(x+4)

5*x=5x

5*4=20

5x+20

6x+2=5x+20

6x+2-2=5x+20-2 (Subtract 2 from both sides.)

20-2 (Solve.)

20-2=18

6x=5x+18

6x-5x=5x+18-5x (Then, subtract 5x from both sides.)

18-5x (Solve.)

18-5x=18

x=18

So, the correct answer is x=18.

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1 year ago

Find the sum or difference.

Strike441 [17]

Answer:

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General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define expression

(4y + 3) - (y - 2)

Step 2: Simplify

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7 0

3 years ago

= The average score of Karl's first four math tests is 72 points. After the fifth and the sixth tests, his average score increas

mylen [45]

Answer:

83 points

Step-by-step explanation:

-The formula for average is given as:

$\bar X=\frac{1}{n}\sum{x_i}\\\\x_i=Individual \ Test \ scores\\n=number \ of \ scores$

Let a be his 5th score and (a+4) of the 6th

#We subtract the sum of the first 4 tests from the 6, to get the sum of the 5th and 6th tests:

$(6^{th}+5^{th})=\bar X n_6-\bar X n_4\\\\=75\times 6-72\times 4\\\\=162$

#We substitute for the 5th and 6th to solve a:

$5^{th}=a\\6^{th}=a+4\\\\a+(a+4)=162\\\\2a=158\\\\a=79\\\\6^{th}=a+4=79+4=83$

Hence, Karl score 83 points in his 6th test.

5 0

4 years ago